461145600 has 180 divisors, whose sum is σ = 1650725076. Its totient is φ = 122941440.

The previous prime is 461145583. The next prime is 461145647. The reversal of 461145600 is 6541164.

461145600 is a `hidden beast` number, since 4 + 6 + 11 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113199 + ... + 117201.

Almost surely, 2^461145600 is an apocalyptic number.

461145600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825362538).

461145600 is an abundant number, since it is smaller than the sum of its proper divisors (1189579476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461145600 is a wasteful number, since it uses less digits than its factorization.

461145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 461145600 is about 21474.3009199368. The cubic root of 461145600 is about 772.5845573071.

Adding to 461145600 its reverse (6541164), we get a palindrome (467686764).

The spelling of 461145600 in words is "four hundred sixty-one million, one hundred forty-five thousand, six hundred".